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On the converse to a theorem of Atiyah and Bott

Robert Friedman·John W. Morgan
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Abstract

Let G be a complex reductive group and let C be a smooth curve of genus at least one. We prove a converse to a theorem of Atiyah-Bott concerning the stratification of the space of holomorphic G-bundles on C. In case the genus of C is one, we establish that one has a stratification in the strong sense. The paper concludes with a characterization of the minimally unstable strata in case G is simple.

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Robert Friedman, John W. Morgan. 2000-06-12. On the converse to a theorem of Atiyah and Bott. https://arxiv.org/abs/math/0006086

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